Least Common Multiple of 31/321, 804/662, 535/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/321, 804/662, 535/548 quickly i.e. 13334340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/321, 804/662, 535/548 is 13334340.

LCM(31/321, 804/662, 535/548) = 13334340

LCM of 31/321, 804/662, 535/548

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 31/321,804/662,535/548

Given numbers are 31/321,804/662,535/548

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 31,804,535

Least Common Multiple of Numerators i.e. LCM of 31,804,535 is 13334340.

GCF of Denominators means GCF of 321,662,548 as per the given fractions.

GCF of 321,662,548 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,804,535

LCM of Fractions 31/321,804/662,535/548 is 13334340

Given numbers has no common factors except 1. So, there LCM is their product i.e 13334340

Least Common Multiple of 31,804,535 with GCF Formula

Least Common Multiple of 31,804,535 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 31,804,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,804,535) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(31,804,535) x common factors =1 x 1 = 1

LCM(31,804,535) = ( 31 × 804 × 535 ) / 1

LCM(31,804,535) = 13334340 / 1

LCM(31,804,535) = 13334340


Lets's calculate GCF of 321,662,548

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13334340/1

Therefore the LCM of Fractions 31/321,804/662,535/548 is 13334340

Greatest Common Factor of 321,662,548 By Matching Biggest Common Factor Method

Greatest Common Factor of 321,662,548 By Matching Biggest Common Factor Method

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Greatest Common Factor

We found the factors 321,662,548 . The biggest common factor number is the GCF number.
So the greatest common factor 321,662,548 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 31/321, 804/662, 535/548

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 31/321, 804/662, 535/548?

Answer: LCM of Numerators as per given numbers 31/321, 804/662, 535/548 is

LCM of Numerators i.e. for 31,804,535 is 13334340

GCF of denominators i.e. for 321,662,548 is 1.

Thus, LCM of Fractions is 13334340.Finally, LCM of Fractions for 31/321, 804/662, 535/548 is 13334340.